2561103600 has 240 divisors, whose sum is σ = 8997174144. Its totient is φ = 617600000.

The previous prime is 2561103583. The next prime is 2561103641. The reversal of 2561103600 is 63011652.

2561103600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3312814 + ... + 3313586.

Almost surely, 2^2561103600 is an apocalyptic number.

2561103600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2561103600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4498587072).

2561103600 is an abundant number, since it is smaller than the sum of its proper divisors (6436070544).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2561103600 is a wasteful number, since it uses less digits than its factorization.

2561103600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 2561103600 is about 50607.3472926610. The cubic root of 2561103600 is about 1368.1773050854.

The spelling of 2561103600 in words is "two billion, five hundred sixty-one million, one hundred three thousand, six hundred".